cos(x) - 1 lim 10 esin(z)-1-x

Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: We have to find total profit

Q: ƒ (x) = 2 cos(x) + 4 sin(x), 0 ≤ x ≤ 2π

A: To find the absolute maximum or minimum value of the given function.

Q: y = In (14)

A: Given that expression we have to find the derivative of y with respect to t

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: x=t7+1,y=t8+t;t=−1x(−1)=−1+1=0y(−1)=1−1=0(x0,y0)=(0,0)Using the power Ruleddxxn=nxn−1

Q: Of all rectangles with a perimeter of 18, which one has the maximum area? (Give the dimensions.)…

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Q: By recognizing each series below as a Taylor series evaluated at a particular value of x, find the…

A: A.1+6+622!+633!+644!+⋯+6nn!+⋯

Q: 2. Consider the following three points (a) (b) ( (c) P= (1, -3,1), Q = (2, 1,0), R= (1,0,1) Find the…

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Q: 9. Two buses are driving along parallel freeways that are 5 mi apart, one heading east and the other…

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Q: What is the limit of (Cos(x)-1)/x^2 as x approaches 0?

A: Given that the expression we have to find the limit as x approaches 0

Q: Given the equation: Ax = λx True or false, λ is called the eigenvalue of A O True O False

A: Since this is a multiple question, according to the Bartleby answering rule only first question has…

Q: d) Plot the x and Vintercepts on the Cartesian Plane. Label the axes and title the graph. Clearly…

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. (a) -54i + 22j + 18k u x V (b) V x u 54i…

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Q: For the given function, find all values of c over the interval (3, 10) stipulated by Rolle's Theorem…

A: f(x)=x+2x-1, (1/5,10)

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: PLEASE PLEASE HELP, The x y-coordinate plane is given. The curve starts at the point (1, 7), goes…

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Q: Find the flux of the vector field F = out of the closed surface S bounded by z = 5-√√x² + y² and z =…

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Q: Determine whether I 5Mm Converges or diverges. If 6 7m m=2 Converges, find its sum

A: Geometric Series∑n=1∞a⋅rn−1 Converges if and only if −1<r<1∑n=1∞a⋅rn−1=a1−r

Q: Consider the series. (−1)n+115n-1 (n+3)5 14n+2 In this problem you must attempt to use the Ratio…

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Q: When a circular plate of metal is heated in an oven, it’s radius increases at a rate of 0.05 cm/min.…

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Q: Solve the following integration :- 3 S sin³x Sin³x cośx dx

A: The given integration is

Q: f, o x sin(x − y) dxdy = Jo J, x? sin(x − y)dydx

A: ∫−12∫06x2sin⁡(x−y)dxdy=∫06∫−12x2sin⁡(x−y)dydx

Q: We have found the following Maclaurin series. x4n 142n (2n)! Now we can use this to find the…

A: The given function .The aim is to find the Maclaurin series of the given function.

Q: If y = (k+1)x+³ then y' =

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Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

A: Consider the series

Q: Find the slope of the tangent to the curve - 4 sin³2x at x = E|O

A: The given curve is .The aim is to find the slope of the tangent line.Derivative formulas used:

Q: es. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.]

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Q: sin²(x) — cos²(x) = 0.2

A: solve

Q: nd the general solution of 2 = Sin x

A: y' = sin2x

Q: a 10, b = 8, c = 7

A: To solve the following triangle.

Q: Graph the function for one period. =tan(лx/2) for 0.5 1.0 1.5 y y-intercept 1.0 vertical asymptotes…

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Q: Find the general Solution For D-E dy dx +y secx = COSX

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Q: Tutorial Exercise Consider the given function. f(x)=4- Evaluate the Riemann sum for 2 S x S 14, with…

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Q: An aluminum can is to be constructed to contain 2600 cm³ of liquid. Let r and h be the radius of the…

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Q: Evaluate the following integral. 498. (e+e-ª) dx

A: The given integral is ex.

Q: Find the degree 3 Taylor polynomial T3(x) of function at a 4. T3(x) = f(x) = (3x + 69)5/4

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Q: * Find the general solution of: dy dx XsinX = -

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Q: Use Q23 implicit different to find dy ldx X²y + xy ² = 6 +2

A: You have posted multiple question in this question which are not interlinked so i have solved first…

Q: Find the general Solution For D-E (xy-4/nx+x² sin x²) dx + x² dy =o

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Q: Select the answer which lists the sizes of the following matrices in order. 2 3 654 12 2 [1 2 3 4 5]…

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Q: SX7UPET dx

A: I=∫x7x4+1dxI=∫x4(x4+1)x3dxI=14∫x4(x4+1)4x3dxSubstitute x4+1=u

Q: F₁ = (e + sin(y), xe" - 2y)

A: We have to check whether the given vector field is conservative.

Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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Q: Use Green's theorem for flux to evaluate the line integral F. û ds. F = (2xy, y² – x²) and C is the…

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Q: √x 4√/2x+1dx X

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Q: Using the graph below, sketch the graph of the function y = - f(x). -6 6 6

A: We have given the graph of f(x).The graph of the function y=-f(x) is the mirror image of the graph…

Q: Prove that the volume of a sphere of radius r is r³ by evaluating the appropriate multiple integral…

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Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above by…

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Q: Sketch the graph of f(x) = 2x + 3 on the interval [0,4]. Choose the correct graph below. A. Ay OB.

A: Here, We need to find the graph of the given equation f(x)=2x+4 in Interval [0,4]

Q: Find the future value P of the amount Po= $200,000 invested for time period t = 9 years at interest…

A: To find the future value P of the amount invested for time period years at interest rate…